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Finding the Fourth Proportional to 313,385.60, 470,078.40 and 76,730.60

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Solution

The fourth proportional to 313,385.60, 470,078.40 and 76,730.60 is: 115,095.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,385.60 : 470,078.40 = 76,730.60 : x
  2. Step 2: Convert to fraction form
    313,385.60/470,078.40 = 76,730.60/x
  3. Step 3: Cross multiply
    313,385.60x = 470,078.40 × 76,730.60
  4. Step 4: Simplify right side
    313,385.60x = 36,069,397,679.04
  5. Step 5: Solve for x
    x = 36,069,397,679.04/313,385.60
  6. Step 6: Final answer
    x = 115,095.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.